22.293 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.038 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.041 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.047 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.073 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.296 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.297 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.300 * * [progress]: iteration 1 / 4 0.300 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.317 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.326 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.331 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of 3 in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 1 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of 3 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.343 * [taylor]: Taking taylor expansion of 3 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 3 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.367 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.367 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 2 in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 2 in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 2 in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of 2 in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 2 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of 2 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of 2 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of 2 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of 2 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of 2 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of 2 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.401 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.436 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.442 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.464 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.567 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.569 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.569 * * * [progress]: adding candidates to table 0.671 * * [progress]: iteration 2 / 4 0.671 * * * [progress]: picking best candidate 0.683 * * * * [pick]: Picked # 0.683 * * * [progress]: localizing error 0.688 * * * [progress]: generating rewritten candidates 0.688 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.689 * * * [progress]: generating series expansions 0.689 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.689 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.689 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.689 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.689 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of 3 in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.689 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.689 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of 3 in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.689 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.689 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of 3 in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of 3 in x 0.693 * [taylor]: Taking taylor expansion of 0 in x 0.695 * [taylor]: Taking taylor expansion of 0 in x 0.695 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.695 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.695 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.695 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of 3 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.696 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.696 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.696 * [taylor]: Taking taylor expansion of 3 in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.697 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.697 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 3 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of 0 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 0 in x 0.707 * [taylor]: Taking taylor expansion of 0 in x 0.708 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.708 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.708 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.708 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.708 * [taylor]: Taking taylor expansion of 3 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.709 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.709 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.709 * [taylor]: Taking taylor expansion of 3 in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.710 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.710 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of 3 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of 3 in x 0.713 * [taylor]: Taking taylor expansion of 0 in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.721 * * * [progress]: simplifying candidates 0.722 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.724 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.726 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.728 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.733 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.773 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.774 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.774 * * * [progress]: adding candidates to table 0.797 * * [progress]: iteration 3 / 4 0.797 * * * [progress]: picking best candidate 0.808 * * * * [pick]: Picked # 0.808 * * * [progress]: localizing error 0.816 * * * [progress]: generating rewritten candidates 0.816 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.828 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.835 * * * [progress]: generating series expansions 0.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.835 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.835 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.835 * [taylor]: Taking taylor expansion of x in y 0.835 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.835 * [taylor]: Taking taylor expansion of 2 in y 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.836 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.836 * [taylor]: Taking taylor expansion of 2 in x 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of 2 in x 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.838 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.838 * [taylor]: Taking taylor expansion of 2 in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.842 * [taylor]: Taking taylor expansion of 1/2 in y 0.842 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.842 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.842 * [taylor]: Taking taylor expansion of 2 in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of 2 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of 2 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of 1 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.871 * [taylor]: Taking taylor expansion of 2 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of 2 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of 2 in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.886 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of 2 in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of 2 in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.889 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.889 * [taylor]: Taking taylor expansion of 2 in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.893 * [taylor]: Taking taylor expansion of 1/2 in y 0.893 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.893 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.893 * [taylor]: Taking taylor expansion of 2 in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.904 * [taylor]: Taking taylor expansion of 2 in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.910 * [taylor]: Taking taylor expansion of 2 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of 2 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of 2 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of 1 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.933 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 0.933 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 0.933 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.933 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of 2 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of 2 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.935 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.935 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.935 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of 2 in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.936 * [taylor]: Taking taylor expansion of 2 in x 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.937 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.937 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.937 * [taylor]: Taking taylor expansion of 2 in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.938 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.938 * [taylor]: Taking taylor expansion of 2 in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.941 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.941 * [taylor]: Taking taylor expansion of 2 in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 1 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.975 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.975 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.975 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.975 * [taylor]: Taking taylor expansion of x in y 0.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.975 * [taylor]: Taking taylor expansion of 2 in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of 2 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.982 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.982 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.983 * [taylor]: Taking taylor expansion of 2 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.987 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.987 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of 2 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.991 * [taylor]: Taking taylor expansion of 2 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of 1 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of 3 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.016 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.016 * [taylor]: Taking taylor expansion of 2 in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.019 * [taylor]: Taking taylor expansion of x in y 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.019 * [taylor]: Taking taylor expansion of 2 in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.023 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.023 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.024 * [taylor]: Taking taylor expansion of 2 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.026 * [taylor]: Taking taylor expansion of 2 in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.029 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.029 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.029 * [taylor]: Taking taylor expansion of 2 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.035 * [taylor]: Taking taylor expansion of 2 in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of 1 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of 3 in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.059 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.059 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of 2 in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.059 * [taylor]: Taking taylor expansion of 2 in x 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.059 * [taylor]: Taking taylor expansion of 2 in x 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of 2 in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of 1 in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.067 * [taylor]: Taking taylor expansion of x in y 1.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.067 * [taylor]: Taking taylor expansion of 2 in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.068 * [taylor]: Taking taylor expansion of 2 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.069 * [taylor]: Taking taylor expansion of 2 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of 1 in y 1.071 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of 2 in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.080 * [taylor]: Taking taylor expansion of 2 in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.081 * [taylor]: Taking taylor expansion of 2 in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.082 * [taylor]: Taking taylor expansion of 2 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.084 * [taylor]: Taking taylor expansion of 2 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.092 * * * [progress]: simplifying candidates 1.093 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.098 * * [simplify]: iteration 0 : 175 enodes (cost 647 ) 1.102 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.115 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.177 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.180 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.180 * * * [progress]: adding candidates to table 1.351 * * [progress]: iteration 4 / 4 1.351 * * * [progress]: picking best candidate 1.361 * * * * [pick]: Picked # 1.361 * * * [progress]: localizing error 1.375 * * * [progress]: generating rewritten candidates 1.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.388 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.395 * * * [progress]: generating series expansions 1.395 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.395 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.395 * [taylor]: Taking taylor expansion of x in y 1.395 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of 2 in y 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of 2 in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.397 * [taylor]: Taking taylor expansion of 2 in x 1.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.397 * [taylor]: Taking taylor expansion of y in x 1.398 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.398 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.398 * [taylor]: Taking taylor expansion of 2 in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.403 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.403 * [taylor]: Taking taylor expansion of 1/2 in y 1.403 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.403 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.403 * [taylor]: Taking taylor expansion of 2 in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.411 * [taylor]: Taking taylor expansion of 0 in y 1.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.413 * [taylor]: Taking taylor expansion of 2 in y 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.417 * [taylor]: Taking taylor expansion of 2 in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.419 * [taylor]: Taking taylor expansion of 2 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.419 * [taylor]: Taking taylor expansion of y in x 1.421 * [taylor]: Taking taylor expansion of 1 in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.428 * [taylor]: Taking taylor expansion of 2 in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.431 * [taylor]: Taking taylor expansion of 2 in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.432 * [taylor]: Taking taylor expansion of y in x 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.434 * [taylor]: Taking taylor expansion of 2 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.434 * [taylor]: Taking taylor expansion of y in x 1.436 * [taylor]: Taking taylor expansion of 1 in y 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.443 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.443 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.443 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.443 * [taylor]: Taking taylor expansion of 2 in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.444 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.444 * [taylor]: Taking taylor expansion of 2 in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.455 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.455 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.455 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.455 * [taylor]: Taking taylor expansion of 2 in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.456 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.456 * [taylor]: Taking taylor expansion of 2 in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.468 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.468 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.468 * [taylor]: Taking taylor expansion of -1 in y 1.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.468 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.468 * [taylor]: Taking taylor expansion of 2 in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.469 * [taylor]: Taking taylor expansion of -1 in y 1.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.469 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.469 * [taylor]: Taking taylor expansion of 2 in y 1.470 * [taylor]: Taking taylor expansion of y in y 1.483 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.484 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in (x y) around 0 1.484 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in y 1.484 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.484 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in y 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.484 * [taylor]: Taking taylor expansion of x in y 1.484 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.484 * [taylor]: Taking taylor expansion of 2 in y 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.484 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.485 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.485 * [taylor]: Taking taylor expansion of (* x x) in y 1.485 * [taylor]: Taking taylor expansion of x in y 1.485 * [taylor]: Taking taylor expansion of x in y 1.485 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.485 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.485 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.485 * [taylor]: Taking taylor expansion of 2 in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.485 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.485 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.485 * [taylor]: Taking taylor expansion of 2 in y 1.486 * [taylor]: Taking taylor expansion of y in y 1.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.490 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.490 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.490 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.490 * [taylor]: Taking taylor expansion of 2 in x 1.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.491 * [taylor]: Taking taylor expansion of y in x 1.491 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.492 * [taylor]: Taking taylor expansion of (* x x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.492 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.492 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.492 * [taylor]: Taking taylor expansion of 2 in x 1.492 * [taylor]: Taking taylor expansion of y in x 1.492 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.492 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.492 * [taylor]: Taking taylor expansion of 2 in x 1.493 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.498 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.498 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.498 * [taylor]: Taking taylor expansion of 2 in x 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.499 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.499 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.499 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.499 * [taylor]: Taking taylor expansion of (* x x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.499 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.499 * [taylor]: Taking taylor expansion of 2 in x 1.500 * [taylor]: Taking taylor expansion of y in x 1.500 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.500 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.500 * [taylor]: Taking taylor expansion of 2 in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.507 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.507 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.507 * [taylor]: Taking taylor expansion of 2 in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.508 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [taylor]: Taking taylor expansion of 1 in y 1.529 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [taylor]: Taking taylor expansion of 0 in y 1.550 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in (x y) around 0 1.550 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in y 1.550 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.550 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.550 * [taylor]: Taking taylor expansion of 2 in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.553 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.553 * [taylor]: Taking taylor expansion of 2 in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.554 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.554 * [taylor]: Taking taylor expansion of 2 in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.561 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.561 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.561 * [taylor]: Taking taylor expansion of 2 in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.563 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.564 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.564 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.564 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.564 * [taylor]: Taking taylor expansion of 2 in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.565 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.565 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.565 * [taylor]: Taking taylor expansion of 2 in x 1.566 * [taylor]: Taking taylor expansion of y in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.569 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.569 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.569 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.569 * [taylor]: Taking taylor expansion of 2 in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.569 * [taylor]: Taking taylor expansion of y in x 1.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.571 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.572 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.572 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.572 * [taylor]: Taking taylor expansion of 2 in x 1.573 * [taylor]: Taking taylor expansion of y in x 1.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.573 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.573 * [taylor]: Taking taylor expansion of 2 in x 1.573 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.577 * [taylor]: Taking taylor expansion of 1 in y 1.577 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.585 * [taylor]: Taking taylor expansion of 1/2 in y 1.585 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.585 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.585 * [taylor]: Taking taylor expansion of 2 in y 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.588 * [taylor]: Taking taylor expansion of 2 in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.600 * [taylor]: Taking taylor expansion of 0 in y 1.616 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.617 * [taylor]: Taking taylor expansion of 1/2 in y 1.617 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.617 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.617 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.617 * [taylor]: Taking taylor expansion of 2 in y 1.617 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.617 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.620 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.620 * [taylor]: Taking taylor expansion of 1/8 in y 1.620 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.620 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.620 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.620 * [taylor]: Taking taylor expansion of 2 in y 1.620 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.624 * [taylor]: Taking taylor expansion of 1/2 in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.650 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in (x y) around 0 1.650 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in y 1.650 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.650 * [taylor]: Taking taylor expansion of x in y 1.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.650 * [taylor]: Taking taylor expansion of 2 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.653 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.653 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.653 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.654 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.654 * [taylor]: Taking taylor expansion of -1 in y 1.654 * [taylor]: Taking taylor expansion of x in y 1.654 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.654 * [taylor]: Taking taylor expansion of -1 in y 1.654 * [taylor]: Taking taylor expansion of x in y 1.654 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.654 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.654 * [taylor]: Taking taylor expansion of -1 in y 1.654 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.654 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.654 * [taylor]: Taking taylor expansion of 2 in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.655 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.655 * [taylor]: Taking taylor expansion of -1 in y 1.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.655 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.655 * [taylor]: Taking taylor expansion of 2 in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.664 * [taylor]: Taking taylor expansion of y in y 1.664 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.664 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.664 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.665 * [taylor]: Taking taylor expansion of 2 in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.667 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.667 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.667 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.668 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.668 * [taylor]: Taking taylor expansion of -1 in x 1.668 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.668 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.668 * [taylor]: Taking taylor expansion of 2 in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.669 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.669 * [taylor]: Taking taylor expansion of 2 in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.672 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.673 * [taylor]: Taking taylor expansion of 2 in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.676 * [taylor]: Taking taylor expansion of -1 in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.676 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.676 * [taylor]: Taking taylor expansion of -1 in x 1.676 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.676 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.676 * [taylor]: Taking taylor expansion of 2 in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.677 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.677 * [taylor]: Taking taylor expansion of 2 in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of 1 in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.690 * [taylor]: Taking taylor expansion of 1/2 in y 1.690 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.691 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.691 * [taylor]: Taking taylor expansion of 2 in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.693 * [taylor]: Taking taylor expansion of 2 in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.707 * [taylor]: Taking taylor expansion of 0 in y 1.729 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.729 * [taylor]: Taking taylor expansion of 1/2 in y 1.729 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.729 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.729 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.729 * [taylor]: Taking taylor expansion of 2 in y 1.730 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.730 * [taylor]: Taking taylor expansion of y in y 1.732 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.732 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.732 * [taylor]: Taking taylor expansion of 1/8 in y 1.732 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.732 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.732 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.732 * [taylor]: Taking taylor expansion of 2 in y 1.732 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.736 * [taylor]: Taking taylor expansion of 1/2 in y 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.736 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.758 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.758 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.758 * [taylor]: Taking taylor expansion of x in y 1.758 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.759 * [taylor]: Taking taylor expansion of 2 in y 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.759 * [taylor]: Taking taylor expansion of y in y 1.759 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.759 * [taylor]: Taking taylor expansion of 2 in x 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.759 * [taylor]: Taking taylor expansion of y in x 1.759 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.759 * [taylor]: Taking taylor expansion of 2 in x 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.759 * [taylor]: Taking taylor expansion of y in x 1.759 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.759 * [taylor]: Taking taylor expansion of 2 in y 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.759 * [taylor]: Taking taylor expansion of y in y 1.760 * [taylor]: Taking taylor expansion of 0 in y 1.761 * [taylor]: Taking taylor expansion of 1 in y 1.764 * [taylor]: Taking taylor expansion of 0 in y 1.767 * [taylor]: Taking taylor expansion of 0 in y 1.768 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.768 * [taylor]: Taking taylor expansion of x in y 1.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.768 * [taylor]: Taking taylor expansion of 2 in y 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.769 * [taylor]: Taking taylor expansion of 2 in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.769 * [taylor]: Taking taylor expansion of y in x 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.770 * [taylor]: Taking taylor expansion of 2 in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.770 * [taylor]: Taking taylor expansion of y in x 1.770 * [taylor]: Taking taylor expansion of 1 in y 1.771 * [taylor]: Taking taylor expansion of 0 in y 1.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.773 * [taylor]: Taking taylor expansion of 2 in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.775 * [taylor]: Taking taylor expansion of 0 in y 1.779 * [taylor]: Taking taylor expansion of 0 in y 1.781 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.781 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.781 * [taylor]: Taking taylor expansion of x in y 1.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.781 * [taylor]: Taking taylor expansion of 2 in y 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.781 * [taylor]: Taking taylor expansion of y in y 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.782 * [taylor]: Taking taylor expansion of 2 in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.782 * [taylor]: Taking taylor expansion of y in x 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.783 * [taylor]: Taking taylor expansion of 2 in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.784 * [taylor]: Taking taylor expansion of 1 in y 1.785 * [taylor]: Taking taylor expansion of 0 in y 1.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.786 * [taylor]: Taking taylor expansion of 2 in y 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of 0 in y 1.792 * [taylor]: Taking taylor expansion of 0 in y 1.794 * * * [progress]: simplifying candidates 1.798 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.804 * * [simplify]: iteration 0 : 244 enodes (cost 579 ) 1.810 * * [simplify]: iteration 1 : 1076 enodes (cost 487 ) 1.836 * * [simplify]: iteration 2 : 5001 enodes (cost 463 ) 1.839 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (* (fma x x (* (pow y 2) 2)) 1) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (* (pow (exp (fma x x (* (pow y 2) 2))) (sqrt 1)) (exp (pow y 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (pow (fma (hypot x (* (sqrt 2) y)) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (pow y 2)) 3) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt 1) (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (* (pow y 2) 2))) (exp (fma x x (* (pow y 2) 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (* (pow y 2) 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (* (pow y 2) 2)) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma (pow y 4) (pow y 2) (pow (fma x x (* y y)) 3)) (+ (pow y 4) (* (pow x 2) (fma x x (* y y)))) (* (fma x x (* (pow y 2) 2)) (pow x 2)) (pow x 2) (* (pow y 2) 2) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* (pow y 2) 2)) (fma x x (* (pow y 2) 2)) (fma x x (* (pow y 2) 2)) 1.840 * * * [progress]: adding candidates to table 2.064 * [progress]: [Phase 3 of 3] Extracting. 2.065 * * [regime]: Finding splitpoints for: (# # # # # #) 2.066 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.066 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.091 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.115 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 2.141 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.167 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.204 * * * [regime]: Found split indices: #